171984 has 20 divisors (see below), whose sum is σ = 444416. Its totient is φ = 57312.

The previous prime is 171947. The next prime is 172001. The reversal of 171984 is 489171.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 171984.

It is an unprimeable number.

171984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1744 + ... + 1839.

2¹⁷¹⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

171984 is an abundant number, since it is smaller than the sum of its proper divisors (272432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

171984 is a wasteful number, since it uses less digits than its factorization.

171984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3594 (or 3588 counting only the distinct ones).

The product of its digits is 2016, while the sum is 30.

The square root of 171984 is about 414.7095369050. The cubic root of 171984 is about 55.6112531783.

The spelling of 171984 in words is "one hundred seventy-one thousand, nine hundred eighty-four".